Linear Algebra and Operations Research

Together with MAT102 – Mathematics 1B this subject provides the required foundational material for the major and minor mathematics structure of the B.Ed. (Secondary

Quick Info

Currently offered by Alphacrucis: Yes
Course code: MAT201
Credit points: 10
Subject coordinator: Stephen Brinton

Prerequisites

The following courses are prerequisites:

MAT101—Mathematics 1A

Awards offering Linear Algebra and Operations Research

This unit is offered as a part of the following awards:

Unit Content

Outcomes

Demonstrate an understanding of the theory of matrices, linear transformations of Euclidean spaces; eigenvalues, eigenvectors and their applications; vector spaces; concepts of orthogonality in vector spaces; formulate sustained mathematical argument with proofs when necessary;
Apply the Simplex method, the transportation algorithm, cut algorithm and Branch and Bound algorithm for solving optimisation problems; network analysis techniques to solve minimum-span, shortest route and maximal-flow problems;
Demonstrate problem solving skills using the concepts of linear algebra and operations research
Demonstrate knowledge of the concepts of linear algebra and operations research in context and the ability to use these concepts to make reasoned, logical answers with sound mathematical reasoning.

Subject Content

Linear Algebra:

bases for vector spaces
linear transformations
eigenvalues and eigenvectors
orthogonalities
complex scalars
inner-product spaces
Hilbert spaces

Operations Research:

linear programming
simplex method
duality
integer programming
non-linear programming
network analysis

This course may be offered in the following formats

Onsite (on campus)
Online (e-Learning)
Intensives

Please consult your course prospectus or enquire about how and when this course will be offered next at Alphacrucis University College.

Assessment Methods

Worksheets (30%)
Online Exam/Activities (30%)
Final Examination (40%)

Prescribed Text

Primary readings provided